Acronym ocube
Name octagon - cube duoprism
Circumradius sqrt[7+2 sqrt(2)]/2 = 1.567516
Confer
more general:
n,cube-dip   n,m-dippip  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x8o o3o4x

. . . . . | 64 |  2  3 | 1  6  3 |  3  6 1 | 3 2
----------+----+-------+---------+---------+----
x . . . . |  2 | 64  * | 1  3  0 |  3  3 0 | 3 1
. . . . x |  2 |  * 96 | 0  2  2 |  1  4 1 | 2 2
----------+----+-------+---------+---------+----
x8o . . . |  8 |  8  0 | 8  *  * |  3  0 0 | 3 0
x . . . x |  4 |  2  2 | * 96  * |  1  2 0 | 2 1
. . . o4x |  4 |  0  4 | *  * 48 |  0  2 1 | 1 2
----------+----+-------+---------+---------+----
x8o . . x  16 | 16  8 | 2  8  0 | 12  * * | 2 0
x . . o4x   8 |  4  8 | 0  4  2 |  * 48 * | 1 1
. . o3o4x   8 |  0 12 | 0  0  6 |  *  * 8 | 0 2
----------+----+-------+---------+---------+----
x8o . o4x  32 | 32 32 | 4 32  8 |  4  8 0 | 6 *
x . o3o4x  16 |  8 24 | 0 12 12 |  0  6 2 | * 8

x4x o3o4x

. . . . . | 64 |  1  1  3 | 1  3  3  3 |  3  3  3 1 | 3 1 1
----------+----+----------+------------+------------+------
x . . . . |  2 | 32  *  * | 1  3  0  0 |  3  3  0 0 | 3 1 0
. x . . . |  2 |  * 32  * | 1  0  3  0 |  3  0  3 0 | 3 0 1
. . . . x |  2 |  *  * 96 | 0  1  1  2 |  1  2  2 1 | 2 1 1
----------+----+----------+------------+------------+------
x4x . . . |  8 |  4  4  0 | 8  *  *  * |  3  0  0 0 | 3 0 0
x . . . x |  4 |  2  0  2 | * 48  *  * |  1  2  0 0 | 2 1 0
. x . . x |  4 |  0  2  2 | *  * 48  * |  1  0  2 0 | 2 0 1
. . . o4x |  4 |  0  0  4 | *  *  * 48 |  0  1  1 1 | 1 1 1
----------+----+----------+------------+------------+------
x4x . . x  16 |  8  8  8 | 2  4  4  0 | 12  *  * * | 2 0 0
x . . o4x   8 |  4  0  8 | 0  4  0  2 |  * 24  * * | 1 1 0
. x . o4x   8 |  0  4  8 | 0  0  4  2 |  *  * 24 * | 1 0 1
. . o3o4x   8 |  0  0 12 | 0  0  0  6 |  *  *  * 8 | 0 1 1
----------+----+----------+------------+------------+------
x4x . o4x  32 | 16 16 32 | 4 16 16  8 |  4  4  4 0 | 6 * *
x . o3o4x  16 |  8  0 24 | 0 12  0 12 |  0  6  0 2 | * 4 *
. x o3o4x  16 |  0  8 24 | 0  0 12 12 |  0  0  6 2 | * * 4

x x4o x8o

. . . . . | 64 |  1  2  2 |  2  2  1  4 1 | 1  4 1  2 2 | 2 2 1
----------+----+----------+---------------+-------------+------
x . . . . |  2 | 32  *  * |  2  2  0  0 0 | 1  4 1  0 0 | 2 2 0
. x . . . |  2 |  * 64  * |  1  0  1  2 0 | 1  2 0  2 1 | 2 1 1
. . . x . |  2 |  *  * 64 |  0  1  0  2 1 | 0  2 1  1 2 | 1 2 1
----------+----+----------+---------------+-------------+------
x x . . . |  4 |  2  2  0 | 32  *  *  * * | 1  2 0  0 0 | 2 1 0
x . . x . |  4 |  2  0  2 |  * 32  *  * * | 0  2 1  0 0 | 1 2 0
. x4o . . |  4 |  0  4  0 |  *  * 16  * * | 1  0 0  2 0 | 2 0 1
. x . x . |  4 |  0  2  2 |  *  *  * 64 * | 0  1 0  1 1 | 1 1 1
. . . x8o |  8 |  0  0  8 |  *  *  *  * 8 | 0  0 1  0 2 | 0 2 1
----------+----+----------+---------------+-------------+------
x x4o . .   8 |  4  8  0 |  4  0  2  0 0 | 8  * *  * * | 2 0 0
x x . x .   8 |  4  4  4 |  2  2  0  2 0 | * 32 *  * * | 1 1 0
x . . x8o  16 |  8  0 16 |  0  8  0  0 2 | *  * 4  * * | 0 2 0
. x4o x .   8 |  0  8  4 |  0  0  2  4 0 | *  * * 16 * | 1 0 1
. x . x8o  16 |  0  8 16 |  0  0  0  8 2 | *  * *  * 8 | 0 1 1
----------+----+----------+---------------+-------------+------
x x4o x .  16 |  8 16  8 |  8  4  4  8 0 | 2  4 0  2 0 | 8 * *
x x . x8o  32 | 16 16 32 |  8 16  0 16 4 | 0  8 2  0 2 | * 4 *
. x4o x8o  32 |  0 32 32 |  0  0  8 32 4 | 0  0 0  8 4 | * * 2

x x4o x4x

. . . . . | 64 |  1  2  1  1 |  2  1  1  1  2  2 1 | 1  2  2 1 1 1 2 | 1 1 2 1
----------+----+-------------+---------------------+-----------------+--------
x . . . . |  2 | 32  *  *  * |  2  1  1  0  0  0 0 | 1  2  2 1 0 0 0 | 1 1 2 0
. x . . . |  2 |  * 64  *  * |  1  0  0  1  1  1 0 | 1  1  1 0 1 1 1 | 1 1 1 1
. . . x . |  2 |  *  * 32  * |  0  1  0  0  2  0 1 | 0  2  0 1 1 0 2 | 1 0 2 1
. . . . x |  2 |  *  *  * 32 |  0  0  1  0  0  2 1 | 0  0  2 1 0 1 2 | 0 1 2 1
----------+----+-------------+---------------------+-----------------+--------
x x . . . |  4 |  2  2  0  0 | 32  *  *  *  *  * * | 1  1  1 0 0 0 0 | 1 1 1 0
x . . x . |  4 |  2  0  2  0 |  * 16  *  *  *  * * | 0  2  0 1 0 0 0 | 1 0 2 0
x . . . x |  4 |  2  0  0  2 |  *  * 16  *  *  * * | 0  0  2 1 0 0 0 | 0 1 2 0
. x4o . . |  4 |  0  4  0  0 |  *  *  * 16  *  * * | 1  0  0 0 1 1 0 | 1 1 0 1
. x . x . |  4 |  0  2  2  0 |  *  *  *  * 32  * * | 0  1  0 0 1 0 1 | 1 0 1 1
. x . . x |  4 |  0  2  0  2 |  *  *  *  *  * 32 * | 0  0  1 0 0 1 1 | 0 1 1 1
. . . x4x |  8 |  0  0  4  4 |  *  *  *  *  *  * 8 | 0  0  0 1 0 0 2 | 0 0 2 1
----------+----+-------------+---------------------+-----------------+--------
x x4o . .   8 |  4  8  0  0 |  4  0  0  2  0  0 0 | 8  *  * * * * * | 1 1 0 0
x x . x .   8 |  4  4  4  0 |  2  2  0  0  2  0 0 | * 16  * * * * * | 1 0 1 0
x x . . x   8 |  4  4  0  4 |  2  0  2  0  0  2 0 | *  * 16 * * * * | 0 1 1 0
x . . x4x  16 |  8  0  8  8 |  0  4  4  0  0  0 2 | *  *  * 4 * * * | 0 0 2 0
. x4o x .   8 |  0  8  4  0 |  0  0  0  2  4  0 0 | *  *  * * 8 * * | 1 0 0 1
. x4o . x   8 |  0  8  0  4 |  0  0  0  2  0  4 0 | *  *  * * * 8 * | 0 1 0 1
. x . x4x  16 |  0  8  8  8 |  0  0  0  0  4  4 2 | *  *  * * * * 8 | 0 0 1 1
----------+----+-------------+---------------------+-----------------+--------
x x4o x .  16 |  8 16  8  0 |  8  4  0  4  8  0 0 | 2  4  0 0 2 0 0 | 4 * * *
x x4o . x  16 |  8 16  0  8 |  8  0  4  4  0  8 0 | 2  0  4 0 0 2 0 | * 4 * *
x x . x4x  32 | 16 16 16 16 |  8  8  8  0  8  8 4 | 0  4  4 2 0 0 2 | * * 4 *
. x4o x4x  32 |  0 32 16 16 |  0  0  0  8 16 16 4 | 0  0  0 0 4 4 4 | * * * 2

x x x x8o

. . . . . | 64 |  1  1  1  2 |  1  1  2  1  2  2 1 | 1  2  2 1  2 1 1 | 2 1 1 1
----------+----+-------------+---------------------+------------------+--------
x . . . . |  2 | 32  *  *  * |  1  1  2  0  0  0 0 | 1  2  2 1  0 0 0 | 2 1 1 0
. x . . . |  2 |  * 32  *  * |  1  0  0  1  2  0 0 | 1  2  0 0  2 1 0 | 2 1 0 1
. . x . . |  2 |  *  * 32  * |  0  1  0  1  0  2 0 | 1  0  2 0  2 0 1 | 2 0 1 1
. . . x . |  2 |  *  *  * 64 |  0  0  1  0  1  1 1 | 0  1  1 1  1 1 1 | 1 1 1 1
----------+----+-------------+---------------------+------------------+--------
x x . . . |  4 |  2  2  0  0 | 16  *  *  *  *  * * | 1  2  0 0  0 0 0 | 2 1 0 0
x . x . . |  4 |  2  0  2  0 |  * 16  *  *  *  * * | 1  0  2 0  0 0 0 | 2 0 1 0
x . . x . |  4 |  2  0  0  2 |  *  * 32  *  *  * * | 0  1  1 1  0 0 0 | 1 1 1 0
. x x . . |  4 |  0  2  2  0 |  *  *  * 16  *  * * | 1  0  0 0  2 0 0 | 2 0 0 1
. x . x . |  4 |  0  2  0  2 |  *  *  *  * 32  * * | 0  1  0 0  1 1 0 | 1 1 0 1
. . x x . |  4 |  0  0  2  2 |  *  *  *  *  * 32 * | 0  0  1 0  1 0 1 | 1 0 1 1
. . . x8o |  8 |  0  0  0  8 |  *  *  *  *  *  * 8 | 0  0  0 1  0 1 1 | 0 1 1 1
----------+----+-------------+---------------------+------------------+--------
x x x . .   8 |  4  4  4  0 |  2  2  0  2  0  0 0 | 8  *  * *  * * * | 2 0 0 0
x x . x .   8 |  4  4  0  4 |  2  0  2  0  2  0 0 | * 16  * *  * * * | 1 1 0 0
x . x x .   8 |  4  0  4  4 |  0  2  2  0  0  2 0 | *  * 16 *  * * * | 1 0 1 0
x . . x8o  16 |  8  0  0 16 |  0  0  8  0  0  0 2 | *  *  * 4  * * * | 0 1 1 0
. x x x .   8 |  0  4  4  4 |  0  0  0  2  2  2 0 | *  *  * * 16 * * | 1 0 0 1
. x . x8o  16 |  0  8  0 16 |  0  0  0  0  8  0 2 | *  *  * *  * 4 * | 0 1 0 1
. . x x8o  16 |  0  0  8 16 |  0  0  0  0  0  8 2 | *  *  * *  * * 4 | 0 0 1 1
----------+----+-------------+---------------------+------------------+--------
x x x x .  16 |  8  8  8  8 |  4  4  4  4  4  4 0 | 2  2  2 0  2 0 0 | 8 * * *
x x . x8o  32 | 16 16  0 32 |  8  0 16  0 16  0 4 | 0  8  0 2  0 2 0 | * 2 * *
x . x x8o  32 | 16  0 16 32 |  0  8 16  0  0 16 4 | 0  0  8 2  0 0 2 | * * 2 *
. x x x8o  32 |  0 16 16 32 |  0  0  0  8 16 16 4 | 0  0  0 0  8 2 2 | * * * 2

x x x x4x

. . . . . | 64 |  1  1  1  1  1 |  1  1  1  1  1  1  1  1  1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1
----------+----+----------------+------------------------------+---------------------+----------
x . . . . |  2 | 32  *  *  *  * |  1  1  1  1  0  0  0  0  0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
. x . . . |  2 |  * 32  *  *  * |  1  0  0  0  1  1  1  0  0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1
. . x . . |  2 |  *  * 32  *  * |  0  1  0  0  1  0  0  1  1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1
. . . x . |  2 |  *  *  * 32  * |  0  0  1  0  0  1  0  1  0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1
. . . . x |  2 |  *  *  *  * 32 |  0  0  0  1  0  0  1  0  1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
----------+----+----------------+------------------------------+---------------------+----------
x x . . . |  4 |  2  2  0  0  0 | 16  *  *  *  *  *  *  *  * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
x . x . . |  4 |  2  0  2  0  0 |  * 16  *  *  *  *  *  *  * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
x . . x . |  4 |  2  0  0  2  0 |  *  * 16  *  *  *  *  *  * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
x . . . x |  4 |  2  0  0  0  2 |  *  *  * 16  *  *  *  *  * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
. x x . . |  4 |  0  2  2  0  0 |  *  *  *  * 16  *  *  *  * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
. x . x . |  4 |  0  2  0  2  0 |  *  *  *  *  * 16  *  *  * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
. x . . x |  4 |  0  2  0  0  2 |  *  *  *  *  *  * 16  *  * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
. . x x . |  4 |  0  0  2  2  0 |  *  *  *  *  *  *  * 16  * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
. . x . x |  4 |  0  0  2  0  2 |  *  *  *  *  *  *  *  * 16 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
. . . x4x |  8 |  0  0  0  4  4 |  *  *  *  *  *  *  *  *  * 8 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
----------+----+----------------+------------------------------+---------------------+----------
x x x . .   8 |  4  4  4  0  0 |  2  2  0  0  2  0  0  0  0 0 | 8 * * * * * * * * * | 1 1 0 0 0
x x . x .   8 |  4  4  0  4  0 |  2  0  2  0  0  2  0  0  0 0 | * 8 * * * * * * * * | 1 0 1 0 0
x x . . x   8 |  4  4  0  0  4 |  2  0  0  2  0  0  2  0  0 0 | * * 8 * * * * * * * | 0 1 1 0 0
x . x x .   8 |  4  0  4  4  0 |  0  2  2  0  0  0  0  2  0 0 | * * * 8 * * * * * * | 1 0 0 1 0
x . x . x   8 |  4  0  4  0  4 |  0  2  0  2  0  0  0  0  2 0 | * * * * 8 * * * * * | 0 1 0 1 0
x . . x4x  16 |  8  0  0  8  8 |  0  0  4  4  0  0  0  0  0 2 | * * * * * 4 * * * * | 0 0 1 1 0
. x x x .   8 |  0  4  4  4  0 |  0  0  0  0  2  2  0  2  0 0 | * * * * * * 8 * * * | 1 0 0 0 1
. x x . x   8 |  0  4  4  0  4 |  0  0  0  0  2  0  2  0  2 0 | * * * * * * * 8 * * | 0 1 0 0 1
. x . x4x  16 |  0  8  0  8  8 |  0  0  0  0  0  4  4  0  0 2 | * * * * * * * * 4 * | 0 0 1 0 1
. . x x4x  16 |  0  0  8  8  8 |  0  0  0  0  0  0  0  4  4 2 | * * * * * * * * * 4 | 0 0 0 1 1
----------+----+----------------+------------------------------+---------------------+----------
x x x x .  16 |  8  8  8  8  0 |  4  4  4  0  4  4  0  4  0 0 | 2 2 0 2 0 0 2 0 0 0 | 4 * * * *
x x x . x  16 |  8  8  8  0  8 |  4  4  0  4  4  0  4  0  4 0 | 2 0 2 0 2 0 0 2 0 0 | * 4 * * *
x x . x4x  32 | 16 16  0 16 16 |  8  0  8  8  0  8  8  0  0 4 | 0 4 4 0 0 2 0 0 2 0 | * * 2 * *
x . x x4x  32 | 16  0 16 16 16 |  0  8  8  8  0  0  0  8  8 4 | 0 0 0 4 4 2 0 0 0 2 | * * * 2 *
. x x x4x  32 |  0 16 16 16 16 |  0  0  0  0  8  8  8  8  8 4 | 0 0 0 0 0 0 4 4 2 2 | * * * * 2

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